OpenAI’s Navier-Stokes release included a Lean 4 formal proof

OpenAI has released a formal proof for the Navier-Stokes existence and smoothness problem using the Lean 4 mathematical proof assistant. This development provides a machine-verifiable verification of a complex fluid dynamics problem, marking a notable integration of large language models into formal theorem proving. By utilizing computational logic to validate mathematical claims, the release highlights a shift toward using AI tools to assist in verifying long-standing scientific conjectures.